On the self-similar nature of Ethernet traffic (extended version)
IEEE/ACM Transactions on Networking (TON)
Wide area traffic: the failure of Poisson modeling
IEEE/ACM Transactions on Networking (TON)
Discrete-time queues with correlated arrivals and constant service times
Computers and Operations Research
The complete analysis of the discrete time finite DBMAP/G/1/N queue
Performance Evaluation
ATM Theory and Applications
Discrete-Time Models for Communication Systems Including ATM
Discrete-Time Models for Communication Systems Including ATM
On the Exact Analysis of a Discrete-Time Queueing System with Autoregressive Inputs
Queueing Systems: Theory and Applications
The discrete-time Geo/Geo/1 queue with negative customers and disasters
Computers and Operations Research
A single-server G-queue in discrete-time with geometrical arrival and service process
Performance Evaluation
Computers and Industrial Engineering
A discrete-time retrial queue with negative customers and unreliable server
Computers and Industrial Engineering
Stochastic processes for computer network traffic modeling
Computer Communications
M/M/1 retrial queue with working vacations and negative customer arrivals
International Journal of Advanced Intelligence Paradigms
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This paper studies a discrete-time single-server infinite-capacity queueing system with correlated arrivals, geometrically distributed service times and negative customers. Positive customers are generated by a Bernoulli bursty source, with geometrically distributed lengths of the on-periods and off-periods. Negative customers arrive to the system according to a geometrical arrival process which is independent of the positive arrival process. A negative customer removes a positive customer in service if any, but has no effect on the system if it finds the system empty. We analyze the Markov chain underlying the queueing system and evaluate the performance of the system based on generating functions technique. Closed-form expressions of some performance measures of the system are obtained, such as stationary probability generating functions of queue length, unfinished work, sojourn time distribution and so on. Finally, the effect of several parameters on the system is shown numerically.